{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Gaussian_Mixture.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyOtJm3hZc5xzSNk/DY3GJSF",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/letianzj/QuantResearch/blob/master/notebooks/gaussian_mixture_markov_switching.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2_1tH-YWPgz8",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "443fa2e6-3563-44f4-923d-3bca84711448"
      },
      "source": [
        "%matplotlib inline\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import scipy\n",
        "from datetime import datetime, timedelta\n",
        "import statsmodels.api as sm\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas_datareader as pdr"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "  import pandas.util.testing as tm\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-BSGW9UhcXhU",
        "colab_type": "text"
      },
      "source": [
        "### Download Data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SZrabJF4PzYj",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 170
        },
        "outputId": "782ee9d8-132f-4557-993f-10603f0ccc14"
      },
      "source": [
        "end_date = datetime.today()\n",
        "# start_date = end_date + timedelta(days=-5*365)\n",
        "start_date = datetime(2000, 1, 1)\n",
        "spx = pdr.DataReader(name='^GSPC', data_source='yahoo', start=start_date, end=end_date)\n",
        "hist_close = spx['Close']\n",
        "hist_ret = hist_close / hist_close.shift(1) - 1.0     # shift 1 shifts forward one day; today has yesterday's price\n",
        "# hist_ret = hist_close.pct_change(1)\n",
        "hist_ret.dropna(inplace=True)\n",
        "hist_ret = hist_ret * 100.0\n",
        "print(hist_ret.describe())"
      ],
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "count    5156.000000\n",
            "mean        0.022692\n",
            "std         1.257770\n",
            "min       -11.984055\n",
            "25%        -0.478784\n",
            "50%         0.056493\n",
            "75%         0.573276\n",
            "max        11.580037\n",
            "Name: Close, dtype: float64\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3-dSeGqScgIl",
        "colab_type": "text"
      },
      "source": [
        "### Gaussian Mixture Model"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zFzXgtmQdFiM",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 280
        },
        "outputId": "3e6f7750-ee1b-4f26-fac7-2eed4d47f2a5"
      },
      "source": [
        "from sklearn.mixture import GaussianMixture\n",
        "\n",
        "X = hist_ret.values.reshape(-1, 1)\n",
        "\n",
        "n_components = np.arange(1, 21)\n",
        "models = [GaussianMixture(n, covariance_type='full', random_state=0).fit(X) for n in n_components]\n",
        "\n",
        "plt.plot(n_components, [m.bic(X) for m in models], label='BIC')\n",
        "plt.plot(n_components, [m.aic(X) for m in models], label='AIC')\n",
        "plt.legend(loc='best')\n",
        "plt.xlabel('n_components');"
      ],
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3C8Wl48OdcS2",
        "colab_type": "text"
      },
      "source": [
        "We may choose two or three states based on the AIC graph. Two states could be explained as high and low vol regimes; while three states hopefully can coincide with uptrend, downtrend and sideways."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1yPYiqN1aiOU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Here I choose 2 states\n",
        "gmm = GaussianMixture(n_components=2, covariance_type='full')\n",
        "gmm.fit(X)\n",
        "labels = gmm.predict(X)"
      ],
      "execution_count": 41,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "msyzyoSydUo7",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "8780e69b-87f7-446e-b807-4b90dbe1bfdf"
      },
      "source": [
        "# the result suggests first state is low vol, second state is high vol.\n",
        "print(gmm.means_, gmm.covariances_) "
      ],
      "execution_count": 42,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[[ 0.0771677]\n",
            " [-0.18504  ]] [[[0.50395004]]\n",
            "\n",
            " [[5.63689172]]]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "k1DDAp-ibIU7",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 136
        },
        "outputId": "4284988d-a407-4837-9ba6-712405a5e424"
      },
      "source": [
        "gmm.predict_proba(X)"
      ],
      "execution_count": 43,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1.06088942e-05, 9.99989391e-01],\n",
              "       [9.27256130e-01, 7.27438701e-02],\n",
              "       [9.27737416e-01, 7.22625835e-02],\n",
              "       ...,\n",
              "       [7.04229548e-01, 2.95770452e-01],\n",
              "       [6.64648042e-01, 3.35351958e-01],\n",
              "       [9.17468730e-01, 8.25312697e-02]])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eJyxEy8hrEsx",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "gmm_regimes = gmm.predict(X)                  # save for latter"
      ],
      "execution_count": 45,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PgKOcZBEfqKY",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "outputId": "e8e448d1-12bf-4fa8-fd85-460c87088371"
      },
      "source": [
        "first_state = [1 if r == 0 else 0 for r in gmm_regimes]\n",
        "second_state = [1 if r == 1 else 0 for r in gmm_regimes]\n",
        "fig, axes = plt.subplots(2, figsize=(12, 8))\n",
        "axes[0].plot(hist_ret.index, first_state, '.', label='first regime')\n",
        "axes[1].plot(hist_ret.index, second_state, '.', label='second regime')\n",
        "plt.show()"
      ],
      "execution_count": 70,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ak7AYfafhSeO",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "5832edb2-2cef-4610-bb76-9511709252f8"
      },
      "source": [
        "print(np.sum(first_state), np.sum(second_state), hist_ret.shape[0])"
      ],
      "execution_count": 64,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "4539 617 5156\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CHTv0l7mcoX3",
        "colab_type": "text"
      },
      "source": [
        "### Markov Regime Switching Model"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gTb0hX8hSk0M",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from statsmodels.tsa.regime_switching.markov_regression import MarkovRegression"
      ],
      "execution_count": 57,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Pu3CJobQSoVV",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 71
        },
        "outputId": "2adfe7a6-de40-452b-ade4-fa9ac5cd5145"
      },
      "source": [
        "model = MarkovRegression(hist_ret, k_regimes=2, trend='nc', switching_variance=True)"
      ],
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tsa/base/tsa_model.py:219: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
            "  ' ignored when e.g. forecasting.', ValueWarning)\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YzVy8UL0S5td",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        },
        "outputId": "2284dcfe-b46e-4ae4-e652-b6a593a2d924"
      },
      "source": [
        "# result suggest first regime is low vol; second regime is high vol.\n",
        "res = model.fit()\n",
        "res.summary()"
      ],
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<table class=\"simpletable\">\n",
              "<caption>Markov Switching Model Results</caption>\n",
              "<tr>\n",
              "  <th>Dep. Variable:</th>         <td>Close</td>      <th>  No. Observations:  </th>   <td>5156</td>   \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>Model:</th>           <td>MarkovRegression</td> <th>  Log Likelihood     </th> <td>-7335.612</td>\n",
              "</tr>\n",
              "<tr>\n",
              "  <th>Date:</th>            <td>Wed, 01 Jul 2020</td> <th>  AIC                </th> <td>14679.224</td>\n",
              "</tr>\n",
              "<tr>\n",
              "  <th>Time:</th>                <td>22:33:24</td>     <th>  BIC                </th> <td>14705.416</td>\n",
              "</tr>\n",
              "<tr>\n",
              "  <th>Sample:</th>                  <td>0</td>        <th>  HQIC               </th> <td>14688.390</td>\n",
              "</tr>\n",
              "<tr>\n",
              "  <th></th>                      <td> - 5156</td>     <th>                     </th>     <td> </td>    \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>Covariance Type:</th>      <td>approx</td>      <th>                     </th>     <td> </td>    \n",
              "</tr>\n",
              "</table>\n",
              "<table class=\"simpletable\">\n",
              "<caption>Regime 0 parameters</caption>\n",
              "<tr>\n",
              "     <td></td>       <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>sigma2</th> <td>    0.5003</td> <td>    0.017</td> <td>   29.027</td> <td> 0.000</td> <td>    0.466</td> <td>    0.534</td>\n",
              "</tr>\n",
              "</table>\n",
              "<table class=\"simpletable\">\n",
              "<caption>Regime 1 parameters</caption>\n",
              "<tr>\n",
              "     <td></td>       <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>sigma2</th> <td>    4.1675</td> <td>    0.187</td> <td>   22.243</td> <td> 0.000</td> <td>    3.800</td> <td>    4.535</td>\n",
              "</tr>\n",
              "</table>\n",
              "<table class=\"simpletable\">\n",
              "<caption>Regime transition parameters</caption>\n",
              "<tr>\n",
              "     <td></td>        <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
              "</tr>\n",
              "<tr>\n",
              "  <th>p[0->0]</th> <td>    0.9903</td> <td>    0.002</td> <td>  468.237</td> <td> 0.000</td> <td>    0.986</td> <td>    0.994</td>\n",
              "</tr>\n",
              "<tr>\n",
              "  <th>p[1->0]</th> <td>    0.0224</td> <td>    0.005</td> <td>    4.481</td> <td> 0.000</td> <td>    0.013</td> <td>    0.032</td>\n",
              "</tr>\n",
              "</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using numerical (complex-step) differentiation."
            ],
            "text/plain": [
              "<class 'statsmodels.iolib.summary.Summary'>\n",
              "\"\"\"\n",
              "                        Markov Switching Model Results                        \n",
              "==============================================================================\n",
              "Dep. Variable:                  Close   No. Observations:                 5156\n",
              "Model:               MarkovRegression   Log Likelihood               -7335.612\n",
              "Date:                Wed, 01 Jul 2020   AIC                          14679.224\n",
              "Time:                        22:33:24   BIC                          14705.416\n",
              "Sample:                             0   HQIC                         14688.390\n",
              "                               - 5156                                         \n",
              "Covariance Type:               approx                                         \n",
              "                             Regime 0 parameters                              \n",
              "==============================================================================\n",
              "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
              "------------------------------------------------------------------------------\n",
              "sigma2         0.5003      0.017     29.027      0.000       0.466       0.534\n",
              "                             Regime 1 parameters                              \n",
              "==============================================================================\n",
              "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
              "------------------------------------------------------------------------------\n",
              "sigma2         4.1675      0.187     22.243      0.000       3.800       4.535\n",
              "                         Regime transition parameters                         \n",
              "==============================================================================\n",
              "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
              "------------------------------------------------------------------------------\n",
              "p[0->0]        0.9903      0.002    468.237      0.000       0.986       0.994\n",
              "p[1->0]        0.0224      0.005      4.481      0.000       0.013       0.032\n",
              "==============================================================================\n",
              "\n",
              "Warnings:\n",
              "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n",
              "\"\"\""
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XKiSmLgUTBqV",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "outputId": "d3cb095c-8474-4bdf-e781-49a5f1af3530"
      },
      "source": [
        "# Regime switch model has better results; which is expected.\n",
        "# Gaussian mixture doesn't consider time sequence of historical returns.\n",
        "fig, axes = plt.subplots(2, figsize=(12, 8))\n",
        "axes[0].plot(res.smoothed_marginal_probabilities[0], label='first regime')\n",
        "axes[1].plot(res.smoothed_marginal_probabilities[1], label='second regime')\n",
        "plt.show()"
      ],
      "execution_count": 60,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x576 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pOB2sBcChekk",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "8dc5251a-365b-4263-b60c-73d6af86db57"
      },
      "source": [
        "print(np.sum(res.smoothed_marginal_probabilities[0] > 0.5), np.sum(res.smoothed_marginal_probabilities[1] > 0.5), hist_ret.shape[0])"
      ],
      "execution_count": 75,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "3617 1539 5156\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JK-oEXaecwkn",
        "colab_type": "text"
      },
      "source": [
        "### Evaluation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2LFULJQWUF2l",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# VIX shadow\n",
        "vix = pdr.DataReader(name='^VIX', data_source='yahoo', start=start_date, end=end_date)"
      ],
      "execution_count": 76,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UC-_kUPCjdDv",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 585
        },
        "outputId": "5c87928f-7611-4bf3-ce53-2f1e504c8b34"
      },
      "source": [
        "fig, ax1 = plt.subplots(figsize=(15,8))\n",
        "ax1.plot(vix.Close, label='vix', color='blue')\n",
        "ax2 = ax1.twinx()\n",
        "ax2.plot(res.smoothed_marginal_probabilities[1], label='second regime', color='lightgreen')\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ],
      "execution_count": 105,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x576 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}